Solving a system of three linear equations with three unknownsConsider the following system of equations 2 x + 2 y + z = 2 − x + 2 y − z = − 5 x − 3 y + 2 z = 8Form an augmented matrix, then reduce this matrix to reduced row echelon form and solve the system.My answer/working:Given: 2 x + 2 y + z = 2 − x + 2 y − z = − 5 x − 3 y + 2 z = 8Matrix form: ( 2 2 1 2 − 1 2 − 1 − 5 1 − 3 2 8 ) ( 2 0 0 2 0 3 0 − 3 0 0 5 6 5 3 ) Solution: x = 1 ; y = − 1 ; z = 2 ;

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Solving a system of three linear equations with three unknownsConsider the following system of equations  2  x  +  2  y  +  z  =  2  −  x  +  2  y  −  z  =  −  5  x  −  3  y  +  2  z  =  8Form an augmented matrix, then reduce this matrix to reduced row echelon form and solve the system.My answer/working:Given:  2  x  +  2  y  +  z  =  2  −  x  +  2  y  −  z  =  −  5  x  −  3  y  +  2  z  =  8Matrix form:      (                            2                          2                          1                          2                                      −          1                          2                          −          1                          −          5                                      1                          −          3                          2                          8                      )        (                            2                          0                          0                          2                                      0                          3                          0                          −          3                                      0                          0                                      5            6                                                5            3                                )  Solution:   x  =  1  ;  y  =  −  1  ;  z  =  2  ;

Kaydence Washington · Accepted Answer

You&#039;re hardly completely wrong! The process you describe is &quot;spot on&quot;, and yes, your solution is correct.You could row reduce a bit further, but there was really no need here.You&#039;ve successfully solved the system of equations.

vittorecostao1 · Accepted Answer

You can reduce your matrix further. remember that you can multiply and/or divide each row so you end up obtaining      (                            1                          0                          0                          1                                      0                          1                          0                          −          1                                      0                          0                          1                          2                      )

Solving a system of three linear equations with three unknownsConsider the following system of equations...

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